1516943904 has 96 divisors (see below), whose sum is σ = 4565828736. Its totient is φ = 431984640.

The previous prime is 1516943873. The next prime is 1516943921. The reversal of 1516943904 is 4093496151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1516943904² = 4602237615765522432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209464 + ... + 216584.

It is an arithmetic number, because the mean of its divisors is an integer number (47560716).

Almost surely, 2^1516943904 is an apocalyptic number.

1516943904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282914368).

1516943904 is an abundant number, since it is smaller than the sum of its proper divisors (3048884832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1516943904 is a wasteful number, since it uses less digits than its factorization.

1516943904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1516943904 is about 38947.9640546204. The cubic root of 1516943904 is about 1149.0083206424.

The spelling of 1516943904 in words is "one billion, five hundred sixteen million, nine hundred forty-three thousand, nine hundred four".